Slow Dynamics in Glasses

Abstract

We will review some of the theoretical progresses that have been recently done in the study of slow dynamics of glassy systems: the general techniques used for studying the dynamics in the mean field approximation and the emergence of a pure dynamical transition in some of these systems. We show how the results obtained for a random Hamiltonian may be also applied to a given Hamiltonian. These two results open the way to a better understanding of the glassy transition in real systems.

References in corpus (3)

• Off equilibrium dynamics and aging in unfrustrated systems
• Evidence of aging in mean-field spin glass models
• $D$-dimensional Arrays of Josephson Junctions, Spin Glasses and $q$-deformed Harmonic Oscillators

Cited by in corpus (10)

• A first principle computation of the thermodynamics of glasses
• Theory of Aging in Structural Glasses
• Barrier Softening near the onset of Non-Activated Transport in Supercooled Liquids: Implications for Establishing Detailed Connection between Thermodynamic and Kinetic Anomalies in Supercooled Liquids
• A tentative Replica Study of the Glass Transition
• Dynamics within metastable states in a mean-field spin glass
• Temperature evolution and bifurcations of metastable states in mean-field spin glasses, with connections with structural glasses
• Aging in a Model of Self-Organized Criticality
• Time scale separation and heterogeneous off-equilibrium dynamics in spin models over random graphs
• The p-spin spherical spin glass model
• Large deviations of glassy effective potentials